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Aloiza [94]
3 years ago
6

Analyze the diagram below and complete the instructions that follow.

Mathematics
1 answer:
Fynjy0 [20]3 years ago
5 0

Answer:

it is d

Step-by-step explanation:

i jusdt took the test

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Use the Laplace transform to solve differential equation
Inessa [10]
Using Laplace transform we have:L(x')+7L(x) = 5L(cos(2t))sL(x)-x(0) + 7L(x) = 5s/(s^2+4)(s+7)L(x)- 4 = 5s/(s^2+4)(s+7)L(x) = (5s - 4s^2 -16)/(s^2+4)
=> L(x) = -(4s^2 - 5s +16)/(s^2+4)(s+7) 
now the boring part, using partial fractions we separate 1/(s^2+4)(s+7) that is:(7-s)/[53(s^2+4)] + 1/53(s+7). So:
L(x)= (1/53)[(-28s^2+4s^3-4s^2+35s-5s^2+5s)/(s^2+4) + (-4s^2+5s-16)/(s+7)]L(x)= (1/53)[(4s^3 -37s^2 +40s)/(s^2+4) + (-4s^2+5s-16)/(s+7)]
denoting T:= L^(-1)and x= (4/53) T(s^3/(s^2+4)) - (37/53)T(s^2/(s^2+4)) +(40/53) T(s^2+4)-(4/53) T(s^2/s+7) +(5/53)T(s/s+7) - (16/53) T(1/s+7)
4 0
3 years ago
More math help please!
Nata [24]
AS we know that:

V=SA*h

And we have the volume and we can calculate the SA,,,

So that, we can conclude:
h= \frac{V}{SA} = \frac{323.5}{\pi (7)^2} =2.1015~~in

Are you satisfied?




3 0
3 years ago
Read 2 more answers
Zara is shopping at a furniture store with a budget of $1,500
Burka [1]

The Estimated total cost was $1564. Zara do not have eough money to buy the sofa and coffee table.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

She wants to buy a sofa for $924 and a coffee table for $640, hence:

Estimated total cost = 924 + 640 = $1564

The Estimated total cost was $1564. Zara do not have eough money to buy the sofa and coffee table.

Find out more on equation at: brainly.com/question/1214333

3 0
2 years ago
A triangle is graphed in the coordinate plane. The vertices of the triangle have coordinates (–3, 1), (1, 1), and (1, –2). What
vladimir2022 [97]

Answer:

The perimeter of the triangle is 12\ units

Step-by-step explanation:

Let

A(-3,1),B(1,1),C(1,-2)

we know that

The perimeter of triangle is equal to

P=AB+BC+AC

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

step 1

Find the distance AB

A(-3,1),B(1,1)

substitute in the formula

AB=\sqrt{(1-1)^{2}+(1+3)^{2}}

AB=\sqrt{(0)^{2}+(4)^{2}}

AB=4\ units

step 2

Find the distance BC

B(1,1),C(1,-2)

substitute in the formula

BC=\sqrt{(-2-1)^{2}+(1-1)^{2}}

BC=\sqrt{(-3)^{2}+(0)^{2}}

BC=3\ units

step 3

Find the distance AC

A(-3,1),C(1,-2)

substitute in the formula

AC=\sqrt{(-2-1)^{2}+(1+3)^{2}}

AC=\sqrt{(-3)^{2}+(4)^{2}}

AC=5\ units

step 4

Find the perimeter

P=AB+BC+AC

substitute the values

P=4+3+5=12\ units

6 0
3 years ago
the Wall Street Journal reported that automobile crashes cost United States $162 billion annually. The average cost per person f
Tanya [424]

Answer:

a) Margin of error = 166.311

b) sample size ≥ 62

Step-by-step explanation:

Given:

Average cost = $1599

Sample size = 50 persons

Standard deviation = $600

Confidence level is 95%

a) Margin of error = z\frac{\sigma}{\sqrt{n}}

Now for confidence level of 95% z-value = 1.96

Thus,

Margin of error = 1.96\frac{600}{\sqrt{50}}

or

Margin of error = 166.311

b) For Margin of error ≤ 150

z\frac{\sigma}{\sqrt{n}} ≤ 150

or

1.96\frac{600}{\sqrt{n}} ≤ 150

or

1.96\frac{600}{150} ≤ √n

or

√n ≥ 7.84

or

n ≥ 61.4656

Therefore,

sample size ≥ 62

6 0
3 years ago
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